Compatibility of non‐generic supersymmetries and geometric duality for a subclass of generalized pp‐wave metrics

Spinning point particle theories accommodate non‐generic supercharges in connection with the existence of Killing‐Yano tensors. Killing‐Yano tensors of order two and three and their corresponding Killing tensors are found for a subclass of generalized pp‐wave metrics. These metrics include the pp‐wave itself, its possible generalizations and the Siklos metric which is conformal to that. The compatibility between geometric duality and non‐generic symmetries is discussed within the context of the metric solutions. It is found that some of the metric solutions admit anti‐de Sitter spacetimes while some are found to be purely radiative.